2014354008 has 240 divisors, whose sum is σ = 6085332000. Its totient is φ = 622297728.

The previous prime is 2014354003. The next prime is 2014354009. The reversal of 2014354008 is 8004534102.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014354003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18480258 + ... + 18480366.

It is an arithmetic number, because the mean of its divisors is an integer number (25355550).

Almost surely, 2^2014354008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2014354008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3042666000).

2014354008 is an abundant number, since it is smaller than the sum of its proper divisors (4070977992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2014354008 is a wasteful number, since it uses less digits than its factorization.

2014354008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2014354008 is about 44881.5553206437. Note that the first 3 decimals coincide. The cubic root of 2014354008 is about 1262.9280204520.

The spelling of 2014354008 in words is "two billion, fourteen million, three hundred fifty-four thousand, eight".